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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/090/03/0039

    • Keywords

       

      Hamilton energy; feedback; chaos; phase compression; control

    • Abstract

       

      Continuous energy supply is critical and important to support oscillating behaviour; otherwise, the oscillator will die. For nonlinear and chaotic circuits, enough energy supply is also important to keep electric devices working. In this paper, Hamilton energy is calculated for dimensionless dynamical system (e.g., the chaotic Lorenz system) using Helmholtz’s theorem.The Hamilton energy is considered as a new variable and then the dynamical system is controlled by using the scheme of energy feedback. It is found that chaos can be suppressed even when intermittentfeedback scheme is applied. This scheme is effective to control chaos and to stabilise other dynamical systems.

    • Author Affiliations

       

      SHENGLI GUO1 JUN MA1 2 AHMED ALSAEDI3

      1. Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China
      2. College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
      3. NAAM-Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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